Question

12. The mode and median of the data 8, 6, 8, 7, 8, 6, 8, 7, 6 is-------------

Answer 1

Mode = 8

Median = 7

Step-by-step explanation:

We are given the following data;

8, 6, 8, 7, 8, 6, 8, 7, 6

Firstly, we will arrange the given data in ascending order, i.e.;

 6, 6, 6, 7, 7, 8, 8, 8, 8

• Mode is that value in the data which occurs maximum number of times in our data. So, after seeing the data we can observe that 8 is appearing maximum number of times in our data, i.e.; 4 times.

Therefore, mode of the given data is 8.

• Median is the middlemost value in our data.

        For calculating median, we first find that number of observation (n) is

        even or odd. Here, in our data n is odd, i.e. n = 9.

        So, Median is given by = $(\frac{n+1}{2} )^{th} obs$

                                               = $(\frac{9+1}{2} )^{th} obs$ = $(5 )^{th} obs$

So, $(5 )^{th} obs$ in our data is 7.

Therefore, median of our data is 7.